The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  2  1  1  2  1  2  2  1  1  2  1  2  4  1  8  1  1  1  2  1  1  2  2  1  4  1  2  1  2  1  4  1  8  1  4  1  1  1  2  0  1  4  4  2  1  1  1  1
 0 12  0  0  0  4 12  4  0  8  4 12  0  8 12  0  4  4  8  4 12 12  8  4 12 12  8  0 12  0  0 12  8  4  8  0  4  4  4  4 12 12  4 12  0 12  0  8  8  8 12  0  8 12  0  4 12  4  4 12  0  8  8 12  8  4  0  0  0  0  0  4  8  0 12  8  0  4  4  0  0  8  0  0  0 12 12  4  0  8 12  0
 0  0 12  0  4  4 12  0  0  0  4  8  4  4  0  8  4  4 12  8 12  0  8  4  4  0 12  8  0 12 12  0  0 12  8 12  0  8 12  0  8  4  8  8 12  0  8 12 12 12  8 12  0 12  4 12  0 12  4  0  4  8 12  0  4  4 12  0  4  0  4  4 12 12  8  0  4  0  8  4  0 12  4  4  4  8  8  8  0  8  8  0
 0  0  0 12  4  0 12  4  0  4 12  8 12  0  4  8  8  8  4  0  4  4 12  0  4  4  8  4  8  8 12  8  8  4  8  0  4 12  4  4  8 12  4  4  8  4  4 12  0  4  0  4  8  4  0  8  8  4  8  0  4  0  8 12 12 12  0 12 12  4 12  0 12  0  8  0 12  8 12  4  0  4  0  0  0  8  0  0 12 12  8  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  8  8  0  8  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  8  8  8  0  0  8  8  0  8  0  8  8  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  0  0  0  0  0  0  8  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  0  0  8  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0

generates a code of length 92 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+51x^80+72x^81+138x^82+160x^83+214x^84+264x^85+400x^86+534x^87+695x^88+1010x^89+1534x^90+2078x^91+2179x^92+2116x^93+1590x^94+1016x^95+694x^96+480x^97+304x^98+216x^99+157x^100+100x^101+79x^102+66x^103+73x^104+38x^105+38x^106+26x^107+25x^108+16x^109+10x^110+6x^112+2x^114+1x^116+1x^134

The gray image is a code over GF(2) with n=736, k=14 and d=320.
This code was found by Heurico 1.16 in 12.5 seconds.